Question

Hi does anybody mind helping w. 4 questions? Willing to give fan and medal! I guess? :)

Answer 1

Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?

He showed that an explicit formula could be created.
He showed that a recursive formula could be created.
He showed that f(n) ÷ f(n - 1) was a constant ratio.
He showed that f(n) - f(n - 1) was a constant difference.

Answer 2

A store had 250 bottles of water. Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments. Which recursive function best represents the number of bottles of water in the store, given that f(0) = 250?

f(n) = f(n - 1) • 0.6 + 48, n > 0
f(n) = 250 - f(n - 1) • 0.4 + 48, n > 0
f(n) = f(n - 1) • 0.4 + 48, n > 0
f(n) = 250 - f(n - 1) • 0.6 + 48, n > 0

Answer 3

Barry has been watching the geese that live in his neighborhood. The number of geese changes each week.


n f(n)
1 56
2 28
3 14
4 7


Which function best shows the relationship between n and f(n)?
f(n) = 28(0.5)n
f(n) = 56(0.5)n-1
f(n) = 56(0.5)n
f(n) = 112(0.5)n-1